Choose the correct words from the drop-down menu to make a true statement about the system of equations. 2x + y = 2

y = –2x – 1

Using substitution, the system has

Choose...

- One solution

- Infinitely many solutions

- No solution

No solution

Explanation:
the problem 2x+y=2 can be written into slope intercept form by subtracting 2x from both sides. You should now have y= —2x + 2 following the formula y=mx+b. The formulas y= —2x - 1 and y= —2x + 2 now have the same slope but different y-intercepts so the answer CANT be infinitely many. In order to have a single (one) solution, you’d need a similar y- intercept. This being said, you would eliminate “one solution”

Keep in mind:
* Y intercept is b in the formula y=mx+b *